{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal_length</th>\n",
       "      <th>sepal_width</th>\n",
       "      <th>petal_length</th>\n",
       "      <th>petal_width</th>\n",
       "      <th>species</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>setosa</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   sepal_length  sepal_width  petal_length  petal_width species\n",
       "0           5.1          3.5           1.4          0.2  setosa\n",
       "1           4.9          3.0           1.4          0.2  setosa\n",
       "2           4.7          3.2           1.3          0.2  setosa\n",
       "3           4.6          3.1           1.5          0.2  setosa\n",
       "4           5.0          3.6           1.4          0.2  setosa"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "iris = sns.load_dataset('iris')\n",
    "iris.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Administrator\\Anaconda3\\lib\\site-packages\\seaborn\\axisgrid.py:2065: UserWarning: The `size` parameter has been renamed to `height`; pleaes update your code.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x2df94bd52b0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 518.85x432 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline \n",
    "sns.set()\n",
    "sns.pairplot(iris, hue='species', size=1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_iris = iris.drop('species', axis=1)\n",
    "X_iris.shape\n",
    "y_iris = iris['species']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "rng = np.random.RandomState(42)\n",
    "x = 10 * rng.rand(50)\n",
    "y = 2 * x - 1 + rng.randn(50)\n",
    "plt.scatter(x, y);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None,\n",
       "         normalize=False)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "lin_reg = LinearRegression()\n",
    "X = x[:, np.newaxis]\n",
    "lin_reg.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.9776566])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lin_reg.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.9033107255311164"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lin_reg.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X_iris, y_iris, random_state=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9736842105263158"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.naive_bayes import GaussianNB\n",
    "\n",
    "model = GaussianNB()\n",
    "model.fit(X_train, y_train)\n",
    "\n",
    "y_pred = model.predict(X_test)\n",
    "\n",
    "from sklearn.metrics import accuracy_score\n",
    "accuracy_score(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "model = PCA(n_components=2)\n",
    "model.fit(X_iris)\n",
    "X_2D = model.transform(X_iris)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 446.85x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris['PCA1'] = X_2D[:, 0]\n",
    "iris['PCA2'] = X_2D[:, 1]\n",
    "sns.lmplot(\"PCA1\", \"PCA2\", hue='species', data=iris, fit_reg=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 8, 8)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits()\n",
    "digits.images.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 100 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, axes = plt.subplots(10, 10, figsize=(8, 8),\n",
    "                         subplot_kw={'xticks':[], 'yticks':[]},\n",
    "                         gridspec_kw=dict(hspace=0.1, wspace=0.1))\n",
    "\n",
    "for i, ax in enumerate(axes.flat):\n",
    "    ax.imshow(digits.images[i], cmap='binary', interpolation='nearest')\n",
    "    ax.text(0.05, 0.05, str(digits.target[i]),\n",
    "            transform=ax.transAxes, color='green')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 64)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = digits.data\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797,)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = digits.target\n",
    "y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 2)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.manifold import Isomap\n",
    "iso = Isomap(n_components=2)\n",
    "iso.fit(digits.data)\n",
    "data_projected = iso.transform(digits.data)\n",
    "data_projected.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(data_projected[:, 0], data_projected[:, 1], c=digits.target,\n",
    "            edgecolor='none', alpha=0.5,\n",
    "            cmap=plt.cm.get_cmap('RdGy', 10))\n",
    "plt.colorbar(label='digit label', ticks=range(10))\n",
    "plt.clim(-0.5, 9.5);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.naive_bayes import GaussianNB\n",
    "model = GaussianNB()\n",
    "model.fit(Xtrain, ytrain)\n",
    "y_model = model.predict(Xtest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8333333333333334"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import accuracy_score\n",
    "accuracy_score(ytest, y_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "\n",
    "mat = confusion_matrix(ytest, y_model)\n",
    "\n",
    "sns.heatmap(mat, square=True, annot=True, cbar=False)\n",
    "plt.xlabel('predicted value')\n",
    "plt.ylabel('true value');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Downloading 20news dataset. This may take a few minutes.\n",
      "Downloading dataset from https://ndownloader.figshare.com/files/5975967 (14 MB)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "['alt.atheism',\n",
       " 'comp.graphics',\n",
       " 'comp.os.ms-windows.misc',\n",
       " 'comp.sys.ibm.pc.hardware',\n",
       " 'comp.sys.mac.hardware',\n",
       " 'comp.windows.x',\n",
       " 'misc.forsale',\n",
       " 'rec.autos',\n",
       " 'rec.motorcycles',\n",
       " 'rec.sport.baseball',\n",
       " 'rec.sport.hockey',\n",
       " 'sci.crypt',\n",
       " 'sci.electronics',\n",
       " 'sci.med',\n",
       " 'sci.space',\n",
       " 'soc.religion.christian',\n",
       " 'talk.politics.guns',\n",
       " 'talk.politics.mideast',\n",
       " 'talk.politics.misc',\n",
       " 'talk.religion.misc']"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_20newsgroups\n",
    "\n",
    "data = fetch_20newsgroups()\n",
    "data.target_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "categories = ['talk.religion.misc', 'soc.religion.christian',\n",
    "              'sci.space', 'comp.graphics']\n",
    "train = fetch_20newsgroups(subset='train', categories=categories)\n",
    "test = fetch_20newsgroups(subset='test', categories=categories)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.feature_extraction.text import TfidfVectorizer\n",
    "from sklearn.naive_bayes import MultinomialNB\n",
    "from sklearn.pipeline import make_pipeline\n",
    "\n",
    "model = make_pipeline(TfidfVectorizer(), MultinomialNB())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "model.fit(train.data, train.target)\n",
    "labels = model.predict(test.data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8016759776536313"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "from sklearn.metrics import accuracy_score\n",
    "accuracy_score(test.target, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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